Mapping trapped atomic gas with spin-orbit coupling to quantum Rabi-like model

TL;DR

This paper establishes a theoretical link between ultracold atomic gases with spin-orbit coupling and the quantum Rabi-like model, enabling exact solutions and cross-disciplinary insights between atomic physics and quantum optics.

Contribution

It introduces a novel mapping from trapped atomic gases with spin-orbit coupling to a quantum Rabi-like model, allowing exact solutions and new analytical approaches.

Findings

Exact solutions for the Rabi-like model derived from atomic systems

Demonstrates the potential to study quantum optics models using ultracold atomic gases

Provides a framework for exploring quantum Rabi dynamics in atomic gases

Abstract

We construct a connection of the ultracold atomic system in a harmonic trap with Raman-induced spin-orbit coupling to the quantum Rabi-like model. By mapping the trapped atomic system to a Rabi-like model, we can get the exact solution of the Rabi-like model following the methods to solve the quantum Rabi model. The existence of such a mapping implies that we can study the basic model in quantum optics by using trapped atomic gases with spin-orbit coupling.